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Finding the Third Proportional to 81.75 and 96.56

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Solution

The third proportional to 81.75 and 96.56 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 96.56 = 96.56 : x
  2. Step 2: Convert to fraction form
    81.75/96.56 = 96.56/x
  3. Step 3: Cross multiply
    81.75x = 96.56 × 96.56
  4. Step 4: Simplify right side
    81.75x = 9,324.32
  5. Step 5: Solve for x
    x = 9,324.32/81.75
  6. Step 6: Final answer
    x = 114.06

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.